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Finding the Third Proportional to 104,486 and 159,177

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Solution

The third proportional to 104,486 and 159,177 is: 242,494.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,486 : 159,177 = 159,177 : x
  2. Step 2: Convert to fraction form
    104,486/159,177 = 159,177/x
  3. Step 3: Cross multiply
    104,486x = 159,177 × 159,177
  4. Step 4: Simplify right side
    104,486x = 25,337,317,329
  5. Step 5: Solve for x
    x = 25,337,317,329/104,486
  6. Step 6: Final answer
    x = 242,494.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.